17/265 added to 15/3 in Fraction Form

The result of 17/265 added to 15/3 is: 5 17/265

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17265 and 153.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 265 and 3 is 795.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17265 to 51795
Convert 153 to 3975795

Step 4: Add the Numerators

Add the numerators: 51 + 3975 = 4026

Step 5: Simplify the Fraction

We can simplify 4026795 to its lowest form.
The greatest common divisor (GCD) of 4026 and 795 is 3.
Dividing both numerator and denominator by the GCD, we get 1342265.

Step 6: Convert to Mixed Number

The fraction 1342265 can be written as the mixed number 517265.

Final Answer

The result of 17/265 added to 15/3 is:

17265+153=517265

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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